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Finding the Third Proportional to 17,535 and 38,009

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Solution

The third proportional to 17,535 and 38,009 is: 82,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535 : 38,009 = 38,009 : x
  2. Step 2: Convert to fraction form
    17,535/38,009 = 38,009/x
  3. Step 3: Cross multiply
    17,535x = 38,009 × 38,009
  4. Step 4: Simplify right side
    17,535x = 1,444,684,081
  5. Step 5: Solve for x
    x = 1,444,684,081/17,535
  6. Step 6: Final answer
    x = 82,388.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.